A car has an initial velocity of 1.0 m/s. It has a constant acceleration of 2.0

Question

A car has an initial velocity of 1.0 m/s. It has a constant acceleration of 2.0 m/s^2 for 3.0 s. a. What is the speed of the car at the end of the 3.0 s? b. How far has the car traveled in the 3.0 s? A cheetah can accelerate from rest to a speed of 24 m/s in 2.0 s. a. What is the acceleration of the cheetah (assume it to be constant)? b. How far does the cheetah travel in the 2.0 s? In a shuffleboard game, a disk with an initial velocity of 3.2 m/s comes to a rest after 6.0 m. Determine the acceleration (assume it to be constant) of the disk?

Explanation / Answer

7)u = 1 m/s ; a = 2 m/s^2 ; t = 3 s

a)we know that,

v = u + at

v = 1 + 2 x 3 = 7 m/s

Hence, v = 7 m/s

b)from eqn of motion

s = ut + 1/2 at^2

s = 1 x 3 + 0.5 x 2 x 3^2 = 12 m

Hence, s = 12 m

8)v = 24 m/s ; t = 2 s

a)acceleration is:

a = v/t = 24/2 = 12 m/s^2

Hence, a = 12 m/s^2

b)dist = speed x time

dist = 24 x 2 = 48 m

Hence, d = 48 m

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