Motion Test

Result

Motion Test - 1

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Weekly Quiz Competition

Question 1
1 / -0

The displacement s of a point moving in a straight line is given by s = 8t² + 5t - 5, where s being in cm and t in s. The initial velocity of the particle is

A
5 cm/s

B
16 cm/s

C
19 cm/s

D
zero

Solution

Given, s = 8t² + 5t - 5
Velocity \'v\' = ds/dt = 16t + 5
At t = 0 sec, initial velocity = 16(0) +5 = 5 cm/s
Question 2
1 / -0

The acceleration due to gravity on the Moon is one-sixth that on the Earth. A high-jumper can jump 2 m on Earth. What distance can he jump on the Moon?

A
2 m

B
1/3 m

C
12 m

D
3 m

Solution

The initial potential energies on both the Earth and the Moon will be same. So, by equating the energies, we get,
mgh = mg'h'
g x 2 = g/6 x h'
h' = 12 m
Question 3
1 / -0

Tripling the speed of a motor car multiplies the distance needed for stopping it by

A
3

B
6

C
9

D
12

Solution

v² - u² = 2as
As v =0; -u² = 2as
s = u²/2a (since a is negative so negative sign cancels each other)
s is proportional to u²
s = ku²
Hence, tripling the speed makes the distance 9 times for stopping.