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Mechanics Questions
Projectiles
In all these questions ignore air resistance unless otherwise stated.
Question 1
| At t=0, a ball is thrown with an initial velocity of magnitude 15ms-1 at 75° to the horizontal (upwards). |
| a) |
Calculate the magnitudes of the vertical and horizontal components of its initial velocity. |
| b) |
Calculate the magnitude of the vertical component of velocity of the ball at t=0·5s. |
| c) |
Calculate the magnitude of the vertical component of velocity of the ball at t=2·0s. Which way is the ball moving at this time? |
| d) |
What is the magnitude of the horizontal component of velocity at t=2·0s? |
Question 2
| A projectile is thrown upwards at 60° to the horizontal with an initial speed of 30ms-1, calculate |
| a) |
the time taken for the projectile to return to its starting height |
| b) |
the range of the projectile (the horizontal distance moved over a horizontal surface). |
Question 3
| A ball is thrown upwards at 50° to the horizontal with an initial speed of 15ms-1. Calculate the magnitude of its velocity when it is at its maximum height. |
Question 4
| A ball is thrown with a velocity of 25ms-1 horizontally. Find the magnitude and direction of its velocity after 1·25s (assuming that the ball has not reached the ground at this time). |
Question 5
| An arrow is shot horizontally at a target 20m away. The arrow hits a point 19·6cm vertically below the point it was aimed at. Calculate the speed with which the arrow left the bow. |
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© David Hoult 2008 |
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