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

362219 Consider a body under S.H.M with amplitude equal to 4 \(cm\). The displacement of the body as a function of time is \(x = 4cm\sin \left( {\frac{\pi }{2}t} \right)\). The average speed and average velocity of the body in time from \(t = 0s\,{\rm{to}}\,t = 2s\,\) are

1 \(2\,cm/s,2\,cm/s\)
2 \(0,2\,cm/s\)
3 \(4\,cm/s,0\)
4 \(2\,cm/s,4\,cm/s\)
PHXI03:MOTION IN A STRAIGHT LINE

362220 A vehicle travels half the distance with speed \(v\) and the remaining distance with speed \(2 v\). Its average speed is:

1 \(\dfrac{2 v}{3}\)
2 \(\dfrac{4 v}{3}\)
3 \(\dfrac{3 v}{4}\)
4 \(\dfrac{v}{3}\)
PHXI03:MOTION IN A STRAIGHT LINE

362221 A runner starts from \(O\) and goes to \(O\) following path \(O Q R O\) in \(1 h\). What is net displacement and average speed?
supporting img

1 \(0,3.57\,\,km{h^{ - 1}}\)
2 \(0,0\,\,km{h^{ - 1}}\)
3 \(0,2.57\,\,km{h^{ - 1}}\)
4 \(0,1\,\,km{h^{ - 1}}\)
PHXI03:MOTION IN A STRAIGHT LINE

362222 If a car covers 2/5 th of the total distance with \({v_1}\) speed and 3/5 th distance with \({v_2}\), then its average speed is

1 \(\frac{1}{2}\sqrt {{v_1}{v_2}} \)
2 \(\frac{{{v_1} + {v_2}}}{2}\)
3 \(\frac{{2{v_1}{v_2}}}{{{v_1} + {v_2}}}\)
4 \(\frac{{5{v_1}{v_2}}}{{3{v_1} + 2{v_2}}}\)
PHXI03:MOTION IN A STRAIGHT LINE

362219 Consider a body under S.H.M with amplitude equal to 4 \(cm\). The displacement of the body as a function of time is \(x = 4cm\sin \left( {\frac{\pi }{2}t} \right)\). The average speed and average velocity of the body in time from \(t = 0s\,{\rm{to}}\,t = 2s\,\) are

1 \(2\,cm/s,2\,cm/s\)
2 \(0,2\,cm/s\)
3 \(4\,cm/s,0\)
4 \(2\,cm/s,4\,cm/s\)
PHXI03:MOTION IN A STRAIGHT LINE

362220 A vehicle travels half the distance with speed \(v\) and the remaining distance with speed \(2 v\). Its average speed is:

1 \(\dfrac{2 v}{3}\)
2 \(\dfrac{4 v}{3}\)
3 \(\dfrac{3 v}{4}\)
4 \(\dfrac{v}{3}\)
PHXI03:MOTION IN A STRAIGHT LINE

362221 A runner starts from \(O\) and goes to \(O\) following path \(O Q R O\) in \(1 h\). What is net displacement and average speed?
supporting img

1 \(0,3.57\,\,km{h^{ - 1}}\)
2 \(0,0\,\,km{h^{ - 1}}\)
3 \(0,2.57\,\,km{h^{ - 1}}\)
4 \(0,1\,\,km{h^{ - 1}}\)
PHXI03:MOTION IN A STRAIGHT LINE

362222 If a car covers 2/5 th of the total distance with \({v_1}\) speed and 3/5 th distance with \({v_2}\), then its average speed is

1 \(\frac{1}{2}\sqrt {{v_1}{v_2}} \)
2 \(\frac{{{v_1} + {v_2}}}{2}\)
3 \(\frac{{2{v_1}{v_2}}}{{{v_1} + {v_2}}}\)
4 \(\frac{{5{v_1}{v_2}}}{{3{v_1} + 2{v_2}}}\)
PHXI03:MOTION IN A STRAIGHT LINE

362219 Consider a body under S.H.M with amplitude equal to 4 \(cm\). The displacement of the body as a function of time is \(x = 4cm\sin \left( {\frac{\pi }{2}t} \right)\). The average speed and average velocity of the body in time from \(t = 0s\,{\rm{to}}\,t = 2s\,\) are

1 \(2\,cm/s,2\,cm/s\)
2 \(0,2\,cm/s\)
3 \(4\,cm/s,0\)
4 \(2\,cm/s,4\,cm/s\)
PHXI03:MOTION IN A STRAIGHT LINE

362220 A vehicle travels half the distance with speed \(v\) and the remaining distance with speed \(2 v\). Its average speed is:

1 \(\dfrac{2 v}{3}\)
2 \(\dfrac{4 v}{3}\)
3 \(\dfrac{3 v}{4}\)
4 \(\dfrac{v}{3}\)
PHXI03:MOTION IN A STRAIGHT LINE

362221 A runner starts from \(O\) and goes to \(O\) following path \(O Q R O\) in \(1 h\). What is net displacement and average speed?
supporting img

1 \(0,3.57\,\,km{h^{ - 1}}\)
2 \(0,0\,\,km{h^{ - 1}}\)
3 \(0,2.57\,\,km{h^{ - 1}}\)
4 \(0,1\,\,km{h^{ - 1}}\)
PHXI03:MOTION IN A STRAIGHT LINE

362222 If a car covers 2/5 th of the total distance with \({v_1}\) speed and 3/5 th distance with \({v_2}\), then its average speed is

1 \(\frac{1}{2}\sqrt {{v_1}{v_2}} \)
2 \(\frac{{{v_1} + {v_2}}}{2}\)
3 \(\frac{{2{v_1}{v_2}}}{{{v_1} + {v_2}}}\)
4 \(\frac{{5{v_1}{v_2}}}{{3{v_1} + 2{v_2}}}\)
PHXI03:MOTION IN A STRAIGHT LINE

362219 Consider a body under S.H.M with amplitude equal to 4 \(cm\). The displacement of the body as a function of time is \(x = 4cm\sin \left( {\frac{\pi }{2}t} \right)\). The average speed and average velocity of the body in time from \(t = 0s\,{\rm{to}}\,t = 2s\,\) are

1 \(2\,cm/s,2\,cm/s\)
2 \(0,2\,cm/s\)
3 \(4\,cm/s,0\)
4 \(2\,cm/s,4\,cm/s\)
PHXI03:MOTION IN A STRAIGHT LINE

362220 A vehicle travels half the distance with speed \(v\) and the remaining distance with speed \(2 v\). Its average speed is:

1 \(\dfrac{2 v}{3}\)
2 \(\dfrac{4 v}{3}\)
3 \(\dfrac{3 v}{4}\)
4 \(\dfrac{v}{3}\)
PHXI03:MOTION IN A STRAIGHT LINE

362221 A runner starts from \(O\) and goes to \(O\) following path \(O Q R O\) in \(1 h\). What is net displacement and average speed?
supporting img

1 \(0,3.57\,\,km{h^{ - 1}}\)
2 \(0,0\,\,km{h^{ - 1}}\)
3 \(0,2.57\,\,km{h^{ - 1}}\)
4 \(0,1\,\,km{h^{ - 1}}\)
PHXI03:MOTION IN A STRAIGHT LINE

362222 If a car covers 2/5 th of the total distance with \({v_1}\) speed and 3/5 th distance with \({v_2}\), then its average speed is

1 \(\frac{1}{2}\sqrt {{v_1}{v_2}} \)
2 \(\frac{{{v_1} + {v_2}}}{2}\)
3 \(\frac{{2{v_1}{v_2}}}{{{v_1} + {v_2}}}\)
4 \(\frac{{5{v_1}{v_2}}}{{3{v_1} + 2{v_2}}}\)