Question

How to calculate distance travelled by an object when acceleration, Time taken are given

Answer 1

Explanation:

Initial velocity u=0 acceleration a=1ms

−2

Time interval t = 4 seconds

Distance travelled =s=ut+

2

1

at

2

s=0×4+

2

1

×1×4

2

=0+

2

1

×1×16

=8m.

Answer 2

Answer:

A particle starts with the initial velocity of v0=6(ms) and acceleration 5−2t(ms2). Calculate the distance traveled by the particle for the first 8 seconds. We calculate the velocity function from the acceleration function: v(t)=∫a(t)dt=∫(5−2t)dt=5t−t2+C.