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A frictionless plane is 10.0 m long and inclined at 42.0°. A sled starts at the...

A frictionless plane is 10.0 m long and inclined at 42.0°. A sled starts at the bottom with an initial speed of 4.60 m/s up the incline. When the sled reaches the point at which it momentarily stops, a second sled is released from the top of the incline with an initial speed vi. Both sleds reach the bottom of the incline at the same moment.

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Answer #1

Let the direction of velocity , acceleration be positive along downward direction of the incline and negative along the upward direction of the incline. We will calculte the the time taken by the first sled to reach the point where its speed is momentarily zero.

From the kinematic equation of motion, we get

The sled will take the same time to come back. So, time taken to reach by the second sled to reach the bottom is 0.701 s.

From kinematic equation of motion for the second sled we get

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