Question

If a vehicle can accelerate at a rate of 4.3 m/s^2, how long will it take for its speed to change from 30 km/hr to 55 km/hr?

A) 3.52 seconds
B) 4.65 seconds
C) 5.21 seconds
D) 6.09 seconds

Answer 1

To find the time it takes for the vehicle's speed to change from 30 km/hr to 55 km/hr, we can use the formula: Δv = a * t, where Δv is the change in velocity, a is the acceleration, and t is the time. By converting the speeds to meters per second, we find that the time is 1.61 seconds.

Step-by-step explanation:

To find the time it takes for the vehicle's speed to change, we can use the formula:

Δv = a * t

where Δv is the change in velocity, a is the acceleration, and t is the time.

First, we need to convert the speeds from km/hr to m/s:

30 km/hr = 8.33 m/s

55 km/hr = 15.28 m/s

The change in velocity is then:

Δv = 15.28 m/s - 8.33 m/s = 6.95 m/s

Finally, we can solve for t:

t = Δv / a = 6.95 m/s / 4.3 m/s² = 1.61 seconds (rounded to two decimal places)