Question

A motorcycle travelling north at 25 m/s accelerates at 1.6 m/s2

for 5.0 s. Calculate the motorcycle’s new speed.

Answer 1

The motorcycle's new speed after 5.0 seconds of acceleration at 1.6 m/s², from an initial speed of 25 m/s, is 33 m/s.

Step-by-step explanation:

To calculate the motorcycle’s new speed after accelerating, we need to use the formula for final velocity in a linear acceleration scenario, which is:

v = u + at

where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time duration of the acceleration.

In this case, the motorcycle is initially traveling north at 25 m/s and it accelerates at 1.6 m/s² for 5.0 seconds. Plugging these values into the equation we get:

v = 25 m/s + (1.6 m/s² × 5.0 s)

Performing the calculation gives:

v = 25 m/s + 8 m/s

v = 33 m/s

Therefore, the motorcycle’s new speed after 5.0 seconds of acceleration is 33 m/s to the north.