Answer
given,
speed of the basketball player, v_x = 4.75 m/s
height of the jump = ?
a) initial vertical velocity = 0 m/s
final vertical velocity = ?
height, h = 0.75 m
using equation of motion
v² = u² + 2 g h
v² = 0² + 2 x 9.8 x 0.75
v² = 14.7
v = 3.83 m/s
b) let horizontal distance= x m
maximum height at time , t s
time taken to reach maximum height
t = 0.39 s
horizontal distance
= v_x × t
= 4.75 × 0.39
= 1.85 m
horizontal distance is equal to 1.85 m
A radar receiver indicates that a pulse return as an echo in 20 μs after it was sent. The reflecting object would be 3000 m away .
Phenomenon of hearing back our own sound is called an echo. It is due to successive reflection of sound waves from the surfaces or obstacles of large size. To hear an echo, there must be a time gap of 0.1 second in original sound and the reflected sound.
Given
time = 20 μs = 20 * s
let distance to the reflecting surface be = x
total distance travelled by pulse will be = 2x
speed = 3.0 × m/s
distance = speed * time
2x = 3.0 × * 20 *
x = 3000 m
The reflecting object would be 3000 m away
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