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.
A)5.0 m/s
B)7.8 m/s
C)13 m/s
D)25 m/s

Question

Quizplus · Accepted Answer

To successfully jump the stream, the car must have enough horizontal velocity to clear the 5.0 m gap and enough vertical velocity to clear the 2.0 m height difference. We can calculate the required velocity using the equation:

v = sqrt(2*g*d)

where v is the velocity, g is the acceleration due to gravity (9.8 m/s^2), and d is the total distance the car must travel (5.0 m horizontal + 2.0 m vertical = 7.0 m).

Plugging in the values, we get:

v = sqrt(2*9.8*7) ~= 7.8 m/s

Therefore, the best choice is B) 7.8 m/s.

A Bridge That Was 5