Home
Class 12
PHYSICS
A particle starts with an initial veloci...

A particle starts with an initial velocity 2.0 m/s along the positive x-direction and it accelerations uniformly at the rate of `0.40m//s^(2)`
(a) Find the distance travelled by it in the first three seconds.
(b) How much time does it take to reach the velocity 9.0 m/s?
(c) How much distance will it cover in reaching the velocity 9.0 m/s?

Text Solution

Verified by Experts

Given that `y=2m//s, a=0.40m//s^(2)`
(a) We have to calculate s when t = 3 s
`s=ut+(1)/(2)at^(2)=3xx2+(1)/(2)xx0.40xx3^(2)`
`=6+0.20xx9=6+1.80=7.80m`
(b) We have to calculate t, when v = 9 m/s
As `v=u+at,` So, `t=(v-u)/(a)=(9-2)/(0.4)=(70)/(4)=(35)/(2)=17.5s`
(c) Here, s = ?, v = 9 `m//s^(2)`, As `v^(2)=u^(2)+2as`
So, `s=(v^(2)-u^(2))/(2a)=(9^(2)-(2)&(2))/(2xx0.4)=(81-4)/(0.8)=(77)/(0.8)=(770)/(8)=(385)/(4)m`
Promotional Banner

Topper's Solved these Questions

  • MOTION IN STRAIGHT LINE

    AAKASH INSTITUTE|Exercise Try Yourself|40 Videos

  • MOTION IN STRAIGHT LINE

    AAKASH INSTITUTE|Exercise Assignment (SECTION - A)|50 Videos

  • MOTION IN A STRAIGHT LINE

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION - D)|15 Videos

  • MOVING CHARGE AND MAGNESIUM

    AAKASH INSTITUTE|Exercise SECTION D|16 Videos

Similar Questions

Explore conceptually related problems

A particle starts with an initial velocity 3.0 m s^(-1) along the positive x- direction and it accelerates uniformly at the rate of 0.60 m s^(-2) .(a) Find the distance traveled by it in the first three seconds. (b) Hew much time does it take to reach the velocity 9.0 m//s (c) How much distance will it cover in reaching the velocity 9.0 m s^(-1) ?

A particle starts with an initial velocity 2.5 m//s along the posiive x-direction and it accelerates uniformly at the rate 0.50 m//s^2. (a) Find the distance travelled by it in the first two seconds (b) How much time does it take to reach the velocity 7.5 m//s ? (c) How much distance will it cover in reaching the velocity 7.5 m//s ?

A particle starts with an initial velocity 2.5 m/s along the positive x direction and it accelerates uniformly at the rate 0.50 m/s^2 . A. Find the distance travelled by it in the first two seconds. b.How much time does it take to reach the velocity 7.5 m/s ? c. How much distance will it cover in reaching the velocity 7.5 m/s?

A ball is projected with a velocity of 20 m//s vertically. Find the distance travelled in first three second. (use g = 10 m//sec^(2) )

An object having a velocity 4.0 m/s is accelerated at the rate of 1.2 m/s^2 for 5.0s. Find the distance travelled during the period of acceleration.

A body with initial velocity 8 m/s moves along a straight line with constant acceleration and travels 640 m in 40 s. For the 40 s interval, find the average velocity

A body starts rolling over a horizontal surface with an initial velocity of 0.5 m//s^(2) . Due to friction , its velocity decreases at the rate of 0.05 m//s^(2) . How much time will it take for the body to stop?

A body with initial velocity 8 m/s moves along a straight line with constant acceleration and travels 640 m in 40 s. For the 40 s interval, find the final velocity

A particle is moving with initial velocity 1m/s and acceleration a=(4t+3)m/s^(2) . Find velocity of particle at t=2sec .