Question 117: Motion in 1D

Question

A particle is moving in a straight line such that its velocity is increasing at 5 ms
$$-$$1
per meter. The acceleration of the particle is _____________ ms
$$-$$2
at a point where its velocity is 20 ms
$$-$$1
.

Accepted Answer

$${{dv} \over {dx}} = 5$$ ms
$$-$$1
/m
Acceleration of particle
when $$v = 20$$ m/s
$$a = v{{dv} \over {dx}} = 20(5)$$ m/s
2
= 100 m/s
2

Motion in 1D

A particle is moving in a straight line such that its velocity is increasing at 5 ms $-1 per meter. The acceleration of the particle is _____________ ms -2 at a point where its velocity is 20 ms -$1 .

Integer / Numeric Answer Type