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Different question variety formed

Question

A car accelerates from rest at a constant rate of 2 m/ s² for some time. Then, it retards at a constant rate of 4 m / s² and comes to rest. What is the maximum speed attained by the car, if it remains in motion for 3 seconds ?

Easy

A

2 m/s
B

3 m/s
C

4 m/s
D

6 m/s

Solution

$u_{max} = \frac{αβt}{α + β} = \frac{2 \times 4}{6} \times 3 = 4 m / s$

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