A race car was is moving at a constant speed of 35 m/s. A security car was moving at a speed of 5 m/s as the race car passes by it and was accelerating at
constant rate of 5 m/s2. what was the speed of the security car when it took
over the race car?
65 m/s
60 m/s
35 m/s
5 m/s

Final speed of security car v = 65 m/s

Explanation:

Given:

Speed of race car u1 = 35m/s

Speed of security car u2 = 5 m/s

Acceleration = 5 m/s²

Find:

Final speed of security car v

Computation:

Assume, they chase S meter

So

S = u1t + [1/2]at²

S = 35t

S = u2t + [1/2]at²

so,

35t = 5t +  [1/2](5)t²

t = 12 s

So

v = u + at

v = 5 + 5(12)

Final speed of security car v = 65 m/s