Question

What is the acceleration of the vehicle if it accelerates from rest to 25 m/s in four seconds?

A) 2.5 m/s²
B) 5 m/s²
C) 6.25 m/s²
D) 10 m/s²

Answer 1

To calculate acceleration, the formula used is a = (v_f - v_i) / Δt. Using the given values: initial velocity of 0 m/s, final velocity of 25 m/s, and time interval of 4 seconds, the acceleration of the vehicle is 6.25 m/s².

Step-by-step explanation:

Calculating Acceleration

To find the acceleration of a vehicle that goes from rest to 25 m/s in 4 seconds, we use the formula for average acceleration, which is:

a = (v_f - v_i) / Δt

where:

• a is the acceleration,
• v_f is the final velocity,
• v_i is the initial velocity, and
• Δt is the time interval.

Since the vehicle starts from rest, v_i = 0 m/s, and it accelerates to v_f = 25 m/s over a time Δt = 4 s.

Plugging these values into our formula gives:

a = (25 m/s - 0 m/s) / 4 s = 6.25 m/s²

So, the correct answer is C) 6.25 m/s².