Average Velocity and Average Speed
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PHXI03:MOTION IN A STRAIGHT LINE

362180 A particle moves half distance with \({v_0}\). The remaining distance is covered with \({v_1}\) for half time and with \({v_2}\) for the other half of the time. The average speed of the particle is

1 \(\frac{{{v_0}}}{{\left( {{v_1} + 2{v_2} + 2{v_0}} \right)}}\)
2 \(\frac{{2{v_0}\left( {{v_1} + {v_2}} \right)}}{{\left( {{v_1} + {v_2} + 2{v_0}} \right)}}\)
3 \(\frac{{{v_0}}}{{\left( {{v_1} + {v_2} + {v_0}} \right)}}\)
4 \(\frac{{2{v_0}\left( {{v_1} + {v_2}} \right)}}{{\left( {{v_1} + {v_2} + {v_0}} \right)}}\)
PHXI03:MOTION IN A STRAIGHT LINE

362181 A body of mass \(m\) moving along a straight line covers half the distance with a speed of \(2\,m{s^{ - 1}}\). The remaining half of the distance is covered in two equal time intervals with a speed of \(3\,m{s^{ - 1}}\,{\rm{and}}\,5m{s^{ - 1}}\) respectively. The average speed of the particle for the entire journey is

1 \(\frac{3}{8}\, m{s^{ - 1}}\)
2 \(\frac{8}{3}\, m{s^{ - 1}}\,\)
3 \(\frac{4}{3}\, m{s^{ - 1}}\,\)
4 \(\frac{{16}}{3} \,m{s^{ - 1}}\,\)
KCET - 2009
PHXI03:MOTION IN A STRAIGHT LINE

362182 A car moves from \(X\) to \(Y\) with a uniform speed \({v_u}\) and returns to \(X\) with a uniform speed \({v_d}\). The average speed for this round trip is

1 \(\frac{{{v_d}{v_u}}}{{{v_d} + {v_u}}}\)
2 \(\sqrt {{v_u}{v_d}} \)
3 \(\frac{{2\,{v_d}{v_u}}}{{{v_d} + {v_u}}}\)
4 \(\frac{{{v_u} + {v_d}}}{2}\)
PHXI03:MOTION IN A STRAIGHT LINE

362183 A car travels a distance of '\(x\)' with speed \(v_{1}\) and then same distance '\(x\)' with speed \(v_{2}\) in the same direction. The average speed of the car is

1 \(\dfrac{v_{1}+v_{2}}{2}\)
2 \(\dfrac{v_{1} v_{2}}{2\left(v_{1}+v_{2}\right)}\)
3 \(\dfrac{2 v_{1} v_{2}}{v_{1}+v_{2}}\)
4 \(\dfrac{2 x}{v_{1}+v_{2}}\)
JEE - 2023
PHXI03:MOTION IN A STRAIGHT LINE

362184 A particle moving in a straight line covers half the distance with speed \(6\,\;m/s\). The other half is covered in two equal time intervals with speed \(9\,\;m/s\) and \(15\,\;m/s\) respectively. The average speed of the particle during the motion is

1 \(9.2\,\;m/s\)
2 \(10\;\,m/s\)
3 \(8\;\,m/s\)
4 \(8.8\,\;m/s\)
JEE - 2024
NEET DIGITAL LIBRARY
PHXI03:MOTION IN A STRAIGHT LINE

362180 A particle moves half distance with \({v_0}\). The remaining distance is covered with \({v_1}\) for half time and with \({v_2}\) for the other half of the time. The average speed of the particle is

1 \(\frac{{{v_0}}}{{\left( {{v_1} + 2{v_2} + 2{v_0}} \right)}}\)
2 \(\frac{{2{v_0}\left( {{v_1} + {v_2}} \right)}}{{\left( {{v_1} + {v_2} + 2{v_0}} \right)}}\)
3 \(\frac{{{v_0}}}{{\left( {{v_1} + {v_2} + {v_0}} \right)}}\)
4 \(\frac{{2{v_0}\left( {{v_1} + {v_2}} \right)}}{{\left( {{v_1} + {v_2} + {v_0}} \right)}}\)
PHXI03:MOTION IN A STRAIGHT LINE

362181 A body of mass \(m\) moving along a straight line covers half the distance with a speed of \(2\,m{s^{ - 1}}\). The remaining half of the distance is covered in two equal time intervals with a speed of \(3\,m{s^{ - 1}}\,{\rm{and}}\,5m{s^{ - 1}}\) respectively. The average speed of the particle for the entire journey is

1 \(\frac{3}{8}\, m{s^{ - 1}}\)
2 \(\frac{8}{3}\, m{s^{ - 1}}\,\)
3 \(\frac{4}{3}\, m{s^{ - 1}}\,\)
4 \(\frac{{16}}{3} \,m{s^{ - 1}}\,\)
KCET - 2009
PHXI03:MOTION IN A STRAIGHT LINE

362182 A car moves from \(X\) to \(Y\) with a uniform speed \({v_u}\) and returns to \(X\) with a uniform speed \({v_d}\). The average speed for this round trip is

1 \(\frac{{{v_d}{v_u}}}{{{v_d} + {v_u}}}\)
2 \(\sqrt {{v_u}{v_d}} \)
3 \(\frac{{2\,{v_d}{v_u}}}{{{v_d} + {v_u}}}\)
4 \(\frac{{{v_u} + {v_d}}}{2}\)
PHXI03:MOTION IN A STRAIGHT LINE

362183 A car travels a distance of '\(x\)' with speed \(v_{1}\) and then same distance '\(x\)' with speed \(v_{2}\) in the same direction. The average speed of the car is

1 \(\dfrac{v_{1}+v_{2}}{2}\)
2 \(\dfrac{v_{1} v_{2}}{2\left(v_{1}+v_{2}\right)}\)
3 \(\dfrac{2 v_{1} v_{2}}{v_{1}+v_{2}}\)
4 \(\dfrac{2 x}{v_{1}+v_{2}}\)
JEE - 2023
PHXI03:MOTION IN A STRAIGHT LINE

362184 A particle moving in a straight line covers half the distance with speed \(6\,\;m/s\). The other half is covered in two equal time intervals with speed \(9\,\;m/s\) and \(15\,\;m/s\) respectively. The average speed of the particle during the motion is

1 \(9.2\,\;m/s\)
2 \(10\;\,m/s\)
3 \(8\;\,m/s\)
4 \(8.8\,\;m/s\)
JEE - 2024
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PHXI03:MOTION IN A STRAIGHT LINE

362180 A particle moves half distance with \({v_0}\). The remaining distance is covered with \({v_1}\) for half time and with \({v_2}\) for the other half of the time. The average speed of the particle is

1 \(\frac{{{v_0}}}{{\left( {{v_1} + 2{v_2} + 2{v_0}} \right)}}\)
2 \(\frac{{2{v_0}\left( {{v_1} + {v_2}} \right)}}{{\left( {{v_1} + {v_2} + 2{v_0}} \right)}}\)
3 \(\frac{{{v_0}}}{{\left( {{v_1} + {v_2} + {v_0}} \right)}}\)
4 \(\frac{{2{v_0}\left( {{v_1} + {v_2}} \right)}}{{\left( {{v_1} + {v_2} + {v_0}} \right)}}\)
PHXI03:MOTION IN A STRAIGHT LINE

362181 A body of mass \(m\) moving along a straight line covers half the distance with a speed of \(2\,m{s^{ - 1}}\). The remaining half of the distance is covered in two equal time intervals with a speed of \(3\,m{s^{ - 1}}\,{\rm{and}}\,5m{s^{ - 1}}\) respectively. The average speed of the particle for the entire journey is

1 \(\frac{3}{8}\, m{s^{ - 1}}\)
2 \(\frac{8}{3}\, m{s^{ - 1}}\,\)
3 \(\frac{4}{3}\, m{s^{ - 1}}\,\)
4 \(\frac{{16}}{3} \,m{s^{ - 1}}\,\)
KCET - 2009
PHXI03:MOTION IN A STRAIGHT LINE

362182 A car moves from \(X\) to \(Y\) with a uniform speed \({v_u}\) and returns to \(X\) with a uniform speed \({v_d}\). The average speed for this round trip is

1 \(\frac{{{v_d}{v_u}}}{{{v_d} + {v_u}}}\)
2 \(\sqrt {{v_u}{v_d}} \)
3 \(\frac{{2\,{v_d}{v_u}}}{{{v_d} + {v_u}}}\)
4 \(\frac{{{v_u} + {v_d}}}{2}\)
PHXI03:MOTION IN A STRAIGHT LINE

362183 A car travels a distance of '\(x\)' with speed \(v_{1}\) and then same distance '\(x\)' with speed \(v_{2}\) in the same direction. The average speed of the car is

1 \(\dfrac{v_{1}+v_{2}}{2}\)
2 \(\dfrac{v_{1} v_{2}}{2\left(v_{1}+v_{2}\right)}\)
3 \(\dfrac{2 v_{1} v_{2}}{v_{1}+v_{2}}\)
4 \(\dfrac{2 x}{v_{1}+v_{2}}\)
JEE - 2023
PHXI03:MOTION IN A STRAIGHT LINE

362184 A particle moving in a straight line covers half the distance with speed \(6\,\;m/s\). The other half is covered in two equal time intervals with speed \(9\,\;m/s\) and \(15\,\;m/s\) respectively. The average speed of the particle during the motion is

1 \(9.2\,\;m/s\)
2 \(10\;\,m/s\)
3 \(8\;\,m/s\)
4 \(8.8\,\;m/s\)
JEE - 2024
For More Updates join with Us
PHXI03:MOTION IN A STRAIGHT LINE

362180 A particle moves half distance with \({v_0}\). The remaining distance is covered with \({v_1}\) for half time and with \({v_2}\) for the other half of the time. The average speed of the particle is

1 \(\frac{{{v_0}}}{{\left( {{v_1} + 2{v_2} + 2{v_0}} \right)}}\)
2 \(\frac{{2{v_0}\left( {{v_1} + {v_2}} \right)}}{{\left( {{v_1} + {v_2} + 2{v_0}} \right)}}\)
3 \(\frac{{{v_0}}}{{\left( {{v_1} + {v_2} + {v_0}} \right)}}\)
4 \(\frac{{2{v_0}\left( {{v_1} + {v_2}} \right)}}{{\left( {{v_1} + {v_2} + {v_0}} \right)}}\)
PHXI03:MOTION IN A STRAIGHT LINE

362181 A body of mass \(m\) moving along a straight line covers half the distance with a speed of \(2\,m{s^{ - 1}}\). The remaining half of the distance is covered in two equal time intervals with a speed of \(3\,m{s^{ - 1}}\,{\rm{and}}\,5m{s^{ - 1}}\) respectively. The average speed of the particle for the entire journey is

1 \(\frac{3}{8}\, m{s^{ - 1}}\)
2 \(\frac{8}{3}\, m{s^{ - 1}}\,\)
3 \(\frac{4}{3}\, m{s^{ - 1}}\,\)
4 \(\frac{{16}}{3} \,m{s^{ - 1}}\,\)
KCET - 2009
PHXI03:MOTION IN A STRAIGHT LINE

362182 A car moves from \(X\) to \(Y\) with a uniform speed \({v_u}\) and returns to \(X\) with a uniform speed \({v_d}\). The average speed for this round trip is

1 \(\frac{{{v_d}{v_u}}}{{{v_d} + {v_u}}}\)
2 \(\sqrt {{v_u}{v_d}} \)
3 \(\frac{{2\,{v_d}{v_u}}}{{{v_d} + {v_u}}}\)
4 \(\frac{{{v_u} + {v_d}}}{2}\)
PHXI03:MOTION IN A STRAIGHT LINE

362183 A car travels a distance of '\(x\)' with speed \(v_{1}\) and then same distance '\(x\)' with speed \(v_{2}\) in the same direction. The average speed of the car is

1 \(\dfrac{v_{1}+v_{2}}{2}\)
2 \(\dfrac{v_{1} v_{2}}{2\left(v_{1}+v_{2}\right)}\)
3 \(\dfrac{2 v_{1} v_{2}}{v_{1}+v_{2}}\)
4 \(\dfrac{2 x}{v_{1}+v_{2}}\)
JEE - 2023
PHXI03:MOTION IN A STRAIGHT LINE

362184 A particle moving in a straight line covers half the distance with speed \(6\,\;m/s\). The other half is covered in two equal time intervals with speed \(9\,\;m/s\) and \(15\,\;m/s\) respectively. The average speed of the particle during the motion is

1 \(9.2\,\;m/s\)
2 \(10\;\,m/s\)
3 \(8\;\,m/s\)
4 \(8.8\,\;m/s\)
JEE - 2024
NEET DIGITAL LIBRARY
PHXI03:MOTION IN A STRAIGHT LINE

362180 A particle moves half distance with \({v_0}\). The remaining distance is covered with \({v_1}\) for half time and with \({v_2}\) for the other half of the time. The average speed of the particle is

1 \(\frac{{{v_0}}}{{\left( {{v_1} + 2{v_2} + 2{v_0}} \right)}}\)
2 \(\frac{{2{v_0}\left( {{v_1} + {v_2}} \right)}}{{\left( {{v_1} + {v_2} + 2{v_0}} \right)}}\)
3 \(\frac{{{v_0}}}{{\left( {{v_1} + {v_2} + {v_0}} \right)}}\)
4 \(\frac{{2{v_0}\left( {{v_1} + {v_2}} \right)}}{{\left( {{v_1} + {v_2} + {v_0}} \right)}}\)
PHXI03:MOTION IN A STRAIGHT LINE

362181 A body of mass \(m\) moving along a straight line covers half the distance with a speed of \(2\,m{s^{ - 1}}\). The remaining half of the distance is covered in two equal time intervals with a speed of \(3\,m{s^{ - 1}}\,{\rm{and}}\,5m{s^{ - 1}}\) respectively. The average speed of the particle for the entire journey is

1 \(\frac{3}{8}\, m{s^{ - 1}}\)
2 \(\frac{8}{3}\, m{s^{ - 1}}\,\)
3 \(\frac{4}{3}\, m{s^{ - 1}}\,\)
4 \(\frac{{16}}{3} \,m{s^{ - 1}}\,\)
KCET - 2009
PHXI03:MOTION IN A STRAIGHT LINE

362182 A car moves from \(X\) to \(Y\) with a uniform speed \({v_u}\) and returns to \(X\) with a uniform speed \({v_d}\). The average speed for this round trip is

1 \(\frac{{{v_d}{v_u}}}{{{v_d} + {v_u}}}\)
2 \(\sqrt {{v_u}{v_d}} \)
3 \(\frac{{2\,{v_d}{v_u}}}{{{v_d} + {v_u}}}\)
4 \(\frac{{{v_u} + {v_d}}}{2}\)
PHXI03:MOTION IN A STRAIGHT LINE

362183 A car travels a distance of '\(x\)' with speed \(v_{1}\) and then same distance '\(x\)' with speed \(v_{2}\) in the same direction. The average speed of the car is

1 \(\dfrac{v_{1}+v_{2}}{2}\)
2 \(\dfrac{v_{1} v_{2}}{2\left(v_{1}+v_{2}\right)}\)
3 \(\dfrac{2 v_{1} v_{2}}{v_{1}+v_{2}}\)
4 \(\dfrac{2 x}{v_{1}+v_{2}}\)
JEE - 2023
PHXI03:MOTION IN A STRAIGHT LINE

362184 A particle moving in a straight line covers half the distance with speed \(6\,\;m/s\). The other half is covered in two equal time intervals with speed \(9\,\;m/s\) and \(15\,\;m/s\) respectively. The average speed of the particle during the motion is

1 \(9.2\,\;m/s\)
2 \(10\;\,m/s\)
3 \(8\;\,m/s\)
4 \(8.8\,\;m/s\)
JEE - 2024