141775 The displacement \(x\) of a particle varies with time \(t\) as \(x=a e^{-\alpha t}+b e^{\beta t}\), where \(a, b, \alpha\) and \(\beta\) are positive constants. The velocity of the particle will

141784 If the distance \(S\) covered by a moving car in rectilinear motion with a speed \(v\) in time \(t\) is given by \(S=v t\), then the car undergoes

141728 The driver of an express trains suddenly sees the red light signal \(50 \mathrm{~m}\) ahead and applies the brakes. If the average deceleration during braking is \(10.0 \mathrm{~ms}^{-2}\) and the reaction time of the driver is \(0.75 \mathrm{sec}\), the minimum speed at which the train should be moving so as not to cross the red signal is

141775 The displacement \(x\) of a particle varies with time \(t\) as \(x=a e^{-\alpha t}+b e^{\beta t}\), where \(a, b, \alpha\) and \(\beta\) are positive constants. The velocity of the particle will

141784 If the distance \(S\) covered by a moving car in rectilinear motion with a speed \(v\) in time \(t\) is given by \(S=v t\), then the car undergoes

141728 The driver of an express trains suddenly sees the red light signal \(50 \mathrm{~m}\) ahead and applies the brakes. If the average deceleration during braking is \(10.0 \mathrm{~ms}^{-2}\) and the reaction time of the driver is \(0.75 \mathrm{sec}\), the minimum speed at which the train should be moving so as not to cross the red signal is

141775 The displacement \(x\) of a particle varies with time \(t\) as \(x=a e^{-\alpha t}+b e^{\beta t}\), where \(a, b, \alpha\) and \(\beta\) are positive constants. The velocity of the particle will

141784 If the distance \(S\) covered by a moving car in rectilinear motion with a speed \(v\) in time \(t\) is given by \(S=v t\), then the car undergoes

141728 The driver of an express trains suddenly sees the red light signal \(50 \mathrm{~m}\) ahead and applies the brakes. If the average deceleration during braking is \(10.0 \mathrm{~ms}^{-2}\) and the reaction time of the driver is \(0.75 \mathrm{sec}\), the minimum speed at which the train should be moving so as not to cross the red signal is