Question

The height in meters of a projectile at t seconds can be found by the
function .
1. Find the height of the projectile 4 seconds after it is launched. [1]
2. At what time does the projectile reach maximum height and what
is the maximum height? [5]
3. How do we ensure that the height obtained above is a maxima?
Prove algebraically. [3]
4. When does the projectile reach the ground? [4]

Answer 1

Answer:

1) 98m

2) The time it takes from an object to be projected and land is called the time of flight. It depends on the initial velocity of the projectile and the angle of projection. The maximum height of the projectile is when the projectile reaches zero vertical velocity.

3) don't know

4) At the highest point of the trajectory of a projectile, its speed is minimum. This is because the horizontal speed of the projectile remains constant. Now, the only force acting on the projectile is gravity, and the acceleration is that due to gravity, so its speed is minimum at the highest point of the trajectory.

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