Motion Test - 7...

With what speed in miles/hour ($$1 m/s = 2.23 mi/h$$) must an object be thrown to reach a height of $$91.5 m$$ (equivalent to one football field)? Assume negligible air resistance.

A race car accelerates uniformly from $$18.5 m/s$$ to $$46.1 m/s$$ in $$2.47$$ seconds. Determine the distance traveled by the car. (in m)

An engineer is designing the runway for an airport of the planes that will use the airport, the lowest acceleration rate is likely to be $$3 m/s^2$$. The takeoff speed for this plane will be $$65 m/s$$. Assuming this minimum acceleration, what is the minimum allowed length for the runway? (in m)

The driver of a train travelling at $$115\ km\ h^{-1}$$ seen on the same track, $$100\ m$$ in front of him, a slow train travelling in the same direction at $$25\ km\ h^{-1}$$. The least retardation that must be applied to faster train to avoid a collision is

A stone is thrown vertically upwards. When the stone is at a height equal to half of its maximum height its speed will be 10 m/s, then the maximum height attained by the stone is (Take g =10 $$m/s^2$$)

The two ends of a train moving with a constant acceleration pass a certain pole with velocities $$u$$ and $$v$$. The velocity with which the middle point of the train passes the same pole is

The graph below shows the distance travelled and the time taken by four cars.
Which car travelled the slowest?

A car, moving at 1.5 $$m{s}^{-1}$$ applies brakes and comes to rest in $$2 s$$. If the same car travels at double the speed, what time would it take to come to rest after applying brakes?

The figure shows the displacement time graph of a particle moving on a straight line path. What is the magnitude of average velocity of the particle over 10 s?

Two cyclists, k km apart, and starting at the same time, would be together In r hours if they travelled in the same direction, but would pass each other In t hours if they travelled in opposite directions. The ratio of the speed of the faster cyclist to that of the slower is ____