Home
Class 11
PHYSICS
A particle is projected at an angle of t...

A particle is projected at an angle of `theta` with the horizontal, with initial speed `u`.If the magnitude of velocity of projectile motion and time are related as `v^(2)-100t^(2)+400t-800=0`. Then which of the following is/are correct. (Take `g=10m//s^(2)`)

A

Angle of projection is `45^(@)`

B

Maximum height attained by the particle is `20` meter

C

Range of the particle is 80 meter

D

Projection velocity is 40 m/sec

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • KINEMATICS

    DC PANDEY|Exercise COMPREHENSION_TYPE|13 Videos
  • KINEMATICS

    DC PANDEY|Exercise MATCH THE COLUMN|3 Videos
  • KINEMATICS

    DC PANDEY|Exercise SCQ_TYPE|41 Videos
  • GRAVITATION

    DC PANDEY|Exercise (C) Chapter Exercises|45 Videos
  • KINEMATICS 1

    DC PANDEY|Exercise INTEGER_TYPE|15 Videos

Similar Questions

Explore conceptually related problems

A particle is projected at an angle 60^(@) with the horizontal with a speed 10m//s . Then, latus rectum is (Take g=10m//s^(2) )

A particle is projected at an angle of60∘ above the horizontal with a speed of 10m/s .When the projectile reaches highest point, change in velocity is

Knowledge Check

  • A particle is pojected from the ground at an angle of theta with the horizontal with an initial speed of u . Time after which velocity vector of the projectile is perpendicular to the initial velocity is

    A
    `u//(g sin theta)`
    B
    `u//(g cos theta)`
    C
    `2u/(g sin theta)`
    D
    `2u tan theta`
  • A particle is projected at an angle theta from ground with speed u (g = 10 m/ s^2 )

    A
    if u = 10 m/s and `theta = 30^@`, then time of flight will be 1 sec
    B
    If `u=10sqrt(3)m//s and theta=60^(@)`, then time of flight will be 3 sec.
    C
    if `u=10sqrt(3)m//s and theta=60^(@)`, then after 2 sec velocity becomes perpendicular to initial velocity.
    D
    if u = 10 m/s and `theta = 30^@`, then velocity never becomes perpendicular to initial velocity during its flight.
  • A particle projected with velocity u at angle theta with horizontal at t=0. What is the magnitude of change in the velocity of the particle when it is at maximum height?

    A
    `(u cos theta)/2`
    B
    `u cos theta`
    C
    `u sin theta`
    D
    none of these
  • Similar Questions

    Explore conceptually related problems

    A particle is projected with velocity u at angle theta with horizontal. Find the time when velocity vector is perpendicular to initial velocity vector.

    A particle of mass m is projected with a speed u at an angle theta with the horizontal. Find angular momentum of particle after time t about point of projection.

    A particle is projected with a speed v and an angle theta to the horizontal. After a time t, the magnitude of the instantaneous velocity is equal to the magnitude of the average velocity from 0 to t. Find t.

    A projectile is projected with a velocity v_(0) at an angle theta with the horizontal as shown in figure. The angular momentum of particle about the origin:

    A projectile is projected with a speed u at an angle theta with the horizontal. What is the speed when its direction of motion makes an angle theta//2 with the horizontal