Q4. A grasshopper jumps at an angle of 30° to the horizontal with a take off
speed of 3m/s
1.
What is the height of its jump? (2)
II.
How long is it above the ground?
(2)
III.
What is the range of its jump? (2)​

i. The height of its jump is approximately 0.115 m

ii. The time of flight of its jump is approximately 0.306 seconds

iii. The range of its jump is approximately 0.795 m

Explanation:

The angle at which the grasshopper jumps, θ = 30°

The speed with which the grasshopper takes off, u = 3 m/s

i. The height of its jump 'h', is given by the following relation;

Where;

g = The acceleration due to gravity ≈ 9.81 m/s²

Therefore;

The height of its jump, h ≈ 0.115 m

ii. The time of flight of its jump, 't', is given as follows;

Therefore;

The time of flight of its jump, t ≈ 0.306 seconds

iii. The range of the jump is given by the following projectile motion equation for the range as follows;

Therefore;

The range of the jump, R ≈ 0.795 m.

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