What is its velocity when it returns to the level from which

What is its velocity when it returns to the level from which it started? The center of mass moves with constant acceleration when constant forces act on the object. A gymnast jumps straight up, with her center of mass moving of 3.36 m/s as she leaves the ground. How high above this point is her center of mass at the following times? (Ignore the effects of air resistance, and assume the initial height of her center of mass is at y = 0.) A mountain climber stands at the top of a 24.0 m cliff that overhangs a calm pool of water. She throws two stones vertically downward 1.00 s apart and observes that they cause a single splash. The first stone had an initial velocity of -3.00 m/c. (Indicate the direction with the sign of your answers.) How long after release of the first stone did two stores hit the water?

Solution

Here ,

initial speed , u = 3.36 m/s

a) at t = 0.1 s

height of centre of mass = u * t - 0.5 * g * t^2

height of centre of mass = 3.36 * 0.1 - 0.5 * 9.8 * 0.1^2

height of centre of mass =0.297 m

b) at t = 0.20 s

height of centre of mass = u * t - 0.5 * g * t^2

height of centre of mass = 3.36 * 0.2 - 0.5 * 9.8 * 0.2^2

height of centre of mass =0.476 m

c) at t = 0.300 s

height of centre of mass = u * t - 0.5 * g * t^2

height of centre of mass = 3.36 * 0.3 - 0.5 * 9.8 * 0.3^2

height of centre of mass =0.576 m

d)

at t = 0.500 s

height of centre of mass = u * t - 0.5 * g * t^2

height of centre of mass = 3.36 * 0.5 - 0.5 * 9.8 * 0.5^2

height of centre of mass =0.455 m