An archer shoots an arrow at 83.0 m/s at a 62.0 degree angle. If the ground is flat, how much time is the arrow in the air?
Answers
time taken to reach the ground is 14.66 sec
it is based on oblique projectile. An archer shoots an arrow at 83 m/s at an angle 62°.
we have to find the time taken by arrow to reach the ground.
using formula, Time of flight, T = 2usinθ/g
where u is initial speed of arrow, θ is angle of projection and g is acceleration due to gravity.
u = 83 m/s, θ = 62° and g = 10m/s²
so, T = 2 × 83 sin62°/10
= 16.6 sin62°
= 16.6 × 0.8829
= 14.65614
≈ 14.66 s
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it is based on oblique projectile. An archer shoots an arrow at 83 m/s at an angle 62°.
we have to find the time taken by arrow to reach the ground.
using formula, Time of flight, T = 2usinθ/g
where u is initial speed of arrow, θ is angle of projection and g is acceleration due to gravity.
u = 83 m/s, θ = 62° and g = 10m/s²
so, T = 2 × 83 sin62°/10
= 16.6 sin62°
= 16.6 × 0.8829
= 14.65614
≈ 14.66 s