Question

A fox fleeing from a hunter encounters a 0.700 m tall fence and attempts to jump it. The fox jumps with an initial velocity of 7.40 m/s at an angle of 45.0º, beginning the jump 2.10 m from the fence. By how much does the fox clear the fence? Treat the fox as a particle.

Answer 1

Answer:0.61 m

Step-by-step explanation:

Given

Initial velocity (u)=7.40 m/s

launch angle
`\theta =45^(\circ)`

height of fence=0.7 m

Trajectory of Projectile is given by

`y=x\tan \theta -(gx^2)/(2u^2\cos^2\theta )`

For x=2.1 m

`y=2.1\tan (45)-(9.8* 2.1^2)/(2* 7.4^2* (\cos 45)^2)`

`y=2.1-0.789`

`y=1.31 m`

At x=2.1 m Y=1.31

therefore Fox clear fence by a margin =1.31-0.7=0.61 m