Motion in A Str...

The car drives straight off the edge of a cliff that is $$57 m$$ high. The investigator at the scene of the accident notes that the point of impact is $$130 m$$ from the base of the cliff. How fast was the car traveling when it went over the cliff? (in m/s)

A particle $$X$$ moving with a constant velocity $$u$$ crosses a point O. At the same instant another particle $$F$$ starts from rest from O with a constant acceleration $$a$$. The maximum separation between them before they meet is

A particle is projected upwards with some velocity. At what height from ground should another particle be just dropped at the same time so that both reach the ground simultaneously. Assume that first particle reaches to a maximum height $$H$$.

Who wins the race?

How long does the race take? (in s)

You are driving along the street at the speed limit ($$35mph$$) and $$50$$ meters before reaching a traffic light you notice it becoming yellow. You accelerate to make the traffic light within the $$3$$ seconds it takes for it to turn red. What is your speed as you cross the intersection? Assume that the acceleration is constant and that there is no air resistance.

Rocket-powered sleds are used to test the human response to acceleration. If a rocket-powered sled is accelerated to a speed of $$444 m/s$$ in $$1.83$$ seconds, then what is the distance that the sled travels? (in m)

upward velocity the rock was shot at (in m/s)

A body is thrown vertically up from the ground with a speed $$v_{initial}$$ and it reaches maximum height h at time $$t=t_o$$. What is the height to which it would have risen at time $$t=t_o/2$$

From the top of a tower of height $$40m$$, a ball is projected upwards with a speed of $$20m/s$$ at an angle of elevation of $$30^0$$. The ratio of the total time taken by the ball to hit the ground to its time of flight (time taken to come back to the same elevation) is :