Question

2. A car decelerates with 10m/s² from 50m/s to 20m/s. Calculate the distance travelled by the car

A 150 m B 105 m C 10m D. 75 m​

Answer 1

We can solve this problem using the kinematic equation:

v² = u² + 2as

where v is the final velocity, u is the initial velocity, a is the acceleration, s is the distance travelled.

Here, the initial velocity is u = 50 m/s, the final velocity is v = 20 m/s, the acceleration is a = -10 m/s² (negative because the car is decelerating), and we want to find the distance travelled, which is s.

Plugging in these values into the equation, we have:

20² = 50² + 2(-10)s

400 = 2500 - 20s

20s = 2100

s = 105

Therefore, the distance travelled by the car is 105 meters. The answer is option B.