Question

A bridge that was 5.0 m long has been washed out by the rain several days ago. How fast must a car be going to successfully jump the stream? Although the road is level on both sides of the bridge, the road on the far side is 2.0 m lower than the road on this side. Group of answer choices

Answer 1

Answer:

Speed, v = 7.83 m/s

Explanation:

It is given that,

Length of the bridge, l = 5 m

The road on the far side is 2.0 m lower than the road on this side, x = 2 m

The horizontal distance covered by the car is 5 meters and the vertical distance covered by the car is 2 meters.

Initial speed of the car, u = 0

Let t is the time taken by the car . Using the second equation of motion as :

For vertical distance :

$s=ut+\dfrac{1}{2}gt^2$

$t=\sqrt{\dfrac{2\times 2}{9.8}}=0.638\ s$

Let v is the velocity to jump the stream. It is given by :

Horizontal distance, d = 5 m

$v=\dfrac{5\ m}{0.638\ s}$

v = 7.83 m/s

So, the car should travel with a speed of 7.83 m/s. Hence, this is the required solution.