Superman is flying 54.5 m/s when he sees a train about to fall into a river 850 m away. He must reach the train in 4.22 s. What

Question

3 years ago

3

acceleration does he need? (Unit = m/s^2)

1 answer:

ivann1987 [24] · Answer 1 · 2022-09-12T06:53:56+03:00

69.66m/s²

Explanation:

Given parameters:

Initial velocity, U of superman = 54.5m/s

distance, s = 850m

time to reach train, t = 4.22s

Unknown

Acceleration, a = ?

Solution:

To solve this problems, we have to use on of the equations of kinematics:

S = ut + $\frac{1}{2}$ at²

The equation above is the perfect fit to solve our problem.

Since a is the unknown, we plug in the known parameters:

850 = (54.5 x 4.22) + ( $\frac{1}{2}$ x a x 4.22²)

850 = 229.99‬ + (0.5 x 4.22² x a)

850 = 229.99 + 8.9a

8.9a = 850 - 229.99

8.9a = 620

a = 69.66m/s²

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